Two charges are fixed in place on the x-axis as shown. The charge at x = 0 is negative and has magnitude q = 2 μCoulombs (1 μCoulomb = 10-6 Coulombs). The charge at x = d, (d = +12 cm), is positive and has magnitude Q = 4 μCoulombs. Find a point x = xo along the x-axis at which the electric field is zero.

Charged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.

The cockroach Periplaneta americana can detect a static electric field of magnitude 9.00 kN/C using their long antennae. If the excess static charge on a cockroach is modeled as point charges located at the end of each antenna, what magnitude of charge q would each antenna possess in order for each antennae to experience a force of magnitude 4.50 µN from the external electric field? Calculate q in units of nanocoulombs (nC). q = nC